Thread: Fourier series of sinc(x)?

Hey guys, first time poster here.

I'm recently studying theories behind MRI and the function sinc(x) comes up alot. As far as I know, it's the function used for the RF pulse because its FT is a square function.

Now, what I'm wondering, though, is what is the Fourier series of sinc(x)?

Originally Posted by Hahutzy

Hey guys, first time poster here.

I'm recently studying theories behind MRI and the function sinc(x) comes up alot. As far as I know, it's the function used for the RF pulse because its FT is a square function.

Now, what I'm wondering, though, is what is the Fourier series of sinc(x)?

sinc(x) doesn't have a Fourier series because it's not periodic.

Originally Posted by Hahutzy

Hey guys, first time poster here.

I'm recently studying theories behind MRI and the function sinc(x) comes up alot. As far as I know, it's the function used for the RF pulse because its FT is a square function.

Now, what I'm wondering, though, is what is the Fourier series of sinc(x)?

Perhaps you mean Fourier transform?

-Dan

Thanks mr fantastic, I got so focussed on trying to figure out a relationship between Series and Transform (I know they're posted everywhere, but I learn better from doing then reading) of sinc(x) that I kinda forgot about that...


Edit:

Originally Posted by topsquark

Perhaps you mean Fourier transform?
-Dan

No, I did not. I know the FT is a square, as mentioned in the first post.